[演講公告] 4/23 統計所專題演講
題 目：A Periodic Replacement Model Based on Cumulative Repair-cost Limit
for a System Subjected to Shocks
主講人：徐世輝講座教授 (靜宜大學統計資訊學系)
(上午10:20-10:40茶會於交大統計所429室舉行)
地 點：交大綜合一館427室
Abstract
A system is subject to shocks that arrive according to a non-homogeneous
Poisson process. As these shocks occur, the system experiences one of two
types of failures: a type-I failure (minor), rectified by a minimal repair;
or a type-II failure (catastrophic) that calls for a replacement. In this
paper, we consider a periodic replacement model with minimal repair based on
a cumulative repair-cost limit. Under such a policy, the system is
anticipatively replaced at the n-th type-I failure, or at the k-th type-I
failure (k<n) at which the accumulated repair cost exceeds the pre-determined
limit, or at any type-II failure, whichever occurs first. The minimum-cost
replacement policy is studied by showing its existence, uniqueness, and
structural properties. Our model is a generalization of several classical
models in maintenance literature. Some numerical analyses are also presented.
Index Terms－Replacement policy, minimal repair, cumulative repair-cost
limit, optimal maintenance.
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